What is the Square Root of 1055?

The square root of 1055 is 32.4807635378. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1055 = 32.4807635378
CalculatedNon-perfect squareIrrational
Exact form√1055
Perfect squareNo
Number typeIrrational
Verification32.48076353782 ≈ 1055

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How the answer is calculated

We solve x2 = 1055. The resulting value is x = 32.4807635378.

Verification: 32.48076353782 ≈ 1055.

Simplified radical form

The square root of 1055 in simplified radical form is √1055.

There are no square factors that can be taken outside the radical, so √1055 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal321024
Upper or equal331089

Nearby square roots

NumberSquare root
√105232.4345494805
√105332.4499614792
√105432.4653661615
√105532.4807635378
√105632.4961536185
√105732.511536414
√105832.5269119346

Number properties

Is 1055 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1055 is irrational because 1055 is not a perfect square.

Visual guide

Square Root function graph

See how the result changes as the input moves across positive and negative values. Square roots are shown for non-negative inputs; cube roots continue through negative inputs.

Common questions

Frequently asked questions

It asks for the number that, when raised to the power of 2, equals 1055.